If it is AR coated with the glue on film, as many are, then:
The picture tube can be removed from the cabinet.
The antistatic/antireflective plastic film can be carefully peeled off
the face of the glass.
The residual glue can be cleaned off, usually with alcohol or wd40 on a
rag.
Then reassemble and use.

The Dell 17" Trinitron flat screen that I am using right now was
'repaired' in that manner.
The down side is there is a quicker build up of dust on the glass
screen due to the extra static charge on the face.
The plus side is that the brightness and contrast can be turned down as
the image is brighter.
The other down side is that it is best to use it without much room
lighting (which I don't).